# AREA OF COMPOSITE FIGURES WORKSHEET

Problem 1 :

Shown is a square garden with a triangular pond. Find the area of the garden that is grass.

Solution

Problem 2 :

Shown is a triangular brick wall with a rectangular window. Find the area of the wall that is brick.

Solution

Problem 3 :

Shown is a pattern that is made from a rectangle and a triangle. Find the area of the pattern.

Solution

Problem 4 :

Shown below is a wall. Calculate the area of the wall.

Solution

Problem 5 :

Shown below is a logo made from a square and two triangles. Calculate the area of the logo.

Solution

Problem 6 :

Below is a diagram of a right-angled triangle and a square.

The area of the square is twice the area of the triangle.

Calculate the length of each side of the square.

Solution

Problem 7 :

The area of the triangle is 165cm2, find b.

Solution

Problem 8 :

Shown below is a right-angled triangle.

The area of the triangle is 21cm2. Calculate y, the length of the base.

Solution

Problem 7 :

Below is a right-angled triangle and a rectangle.

The area of the right-angled triangle is equal to the area of the rectangle. calculate x.

Solution

1)  area of the garden that is grass is 30m2.

2)  area of the wall = 18m2

3)  area of the pattern = 55cm2

4)  area of the wall is 10.5m2.

5) area of the logo is 120 cm2.

6)  the length of each side of the square is 8 cm.

7)  b = 22

8)  the length of the base is 7 cm.

9)  x = 3 cm

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